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102245814 = 23411181317
BaseRepresentation
bin1100001100000…
…10010110110110
321010101121220000
412012002112312
5202133331224
614051252130
72351034516
oct606022666
9233347800
10102245814
1152795880
122a2aa046
131824baa8
14d817846
158e9a0c9
hex61825b6

102245814 has 80 divisors (see below), whose sum is σ = 252107856. Its totient is φ = 30715200.

The previous prime is 102245809. The next prime is 102245839. The reversal of 102245814 is 418542201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322384 + ... + 322700.

Almost surely, 2102245814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102245814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126053928).

102245814 is an abundant number, since it is smaller than the sum of its proper divisors (149862042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102245814 is a wasteful number, since it uses less digits than its factorization.

102245814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 102245814 is about 10111.6672215812. The cubic root of 102245814 is about 467.6079063069.

The spelling of 102245814 in words is "one hundred two million, two hundred forty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 181 198 297 317 362 543 594 634 891 951 1086 1629 1782 1902 1991 2853 3258 3487 3982 4887 5706 5973 6974 8559 9774 10461 11946 14661 17118 17919 20922 25677 29322 31383 35838 51354 53757 57377 62766 94149 107514 114754 161271 172131 188298 282447 322542 344262 516393 564894 631147 1032786 1262294 1549179 1893441 3098358 3786882 4647537 5680323 9295074 11360646 17040969 34081938 51122907 102245814